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Q:

Missing letters puzzle

Answer

Answer:  4


Explanation:   Splitting the diagram in half horizontally and vertically, each quarter contains the alphabet written in sequence, with the relative position of this sequence rotating 1/4 turn anti-clockwise as you move clockwise around the quarters.

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Q:

Missing letters puzzle

Answer

Answer:  U


Explanation:  Start with the D on the outer left of the diagram, and move clockwise around the outer segments, then start on the N anti-clockwise around the inner segments. Letters advance through the alphabet in steps of 3, then 4, 5, and 6, repeating this sequence.

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Q:

Missing letters puzzle

Answer

Answer :  Y


Explanation:    Start on the left hand of the diagram, and move clockwise. Letters are written in alphabetical order, in steps of 10 letters at a time.

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Q:

Missing letters puzzle

Answer

Answer: U


Explanation:   Starting on the left, and moving along the line to the right, letters follow the alphabetic sequence, in steps of 1,2,3 and then 4, before repeating the sequence.


 

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Q:

Logical puzzle

At a restaurant, how could you choose one out of three desserts with equal probability with the help of a coin? What if the coin is biased and the bias is unknown?

Answer

Our solution:


Toss the coin twice.
Let TH, HT and TT correspond to the three choices.
And if you get HH, just repeat (so it takes 8/3 tosses on average).


BIASED COIN

If the coin was biased, TH and HT would occur with equal probability.
So you could assign THHT, HTTH and THTH to the three choices, with other 4-toss outcomes rejected.
Or you could assign HTT, THT and TTH to the three choices, with other 3-toss outcomes rejected.

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Subject: Logic Puzzles

Q:

Logical puzzle

You work at a fruit factory.
There are 3 crates in front of you. One crate contains only apples. One crate contains only oranges. The other crate contains both apples and oranges. And each crate is labeled. One reads "apples", one reads "oranges", and one reads "apples and oranges". But the labeling machine has gone crazy and is now labeling all boxes incorrectly. If you can only take out and look at just one of the pieces of fruit from just one of the crates, how can you label ALL of the crates correctly?

Answer

Our solution:


Take a piece of fruit from the "apples and oranges" crate. If it's an apple then you know that is the "apples" crate since ALL THE CRATES ARE LABELED INCORRECTLY. This means the crate marked "apples" must be "oranges" and the crate marked "oranges" must be "apples and oranges".

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Subject: Logic Puzzles

Q:

Logical puzzle

 A boy and a girl are talking.
"I am a boy" - said the child with black hair.
"I am a girl"  - said the child with white hair.

At least one of them lied. Who is the boy and who is the girl?

Answer

Our Solution:


They both lied.
The child with the black hair is the girl, and the child with the white hair is the boy.
(If only one lied they would both be boys or both be girls)

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Subject: Logic Puzzles

Q:

Logical puzzle

There are three boxes in a table. One of the box contains Gold and the other two are empty. A printed message contains in each box. One of the message is true and the other two are lies. The first box says 'The Gold is not here'. The Second box says 'The Gold is not here'. The Third box says 'The Gold is in the Second box'. Which box has the Gold?

Answer

As the message contains one truth, the third says that the gold is in the second box, if it is to be true, then the first box message will also become true. So Gold cannot be in second and third boxes. Gold is in the first box.

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Subject: Logic Puzzles